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Finding the Fourth Proportional to 6,711.51, 10,072.46 and 4,645.95

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Solution

The fourth proportional to 6,711.51, 10,072.46 and 4,645.95 is: 6,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.51 : 10,072.46 = 4,645.95 : x
  2. Step 2: Convert to fraction form
    6,711.51/10,072.46 = 4,645.95/x
  3. Step 3: Cross multiply
    6,711.51x = 10,072.46 × 4,645.95
  4. Step 4: Simplify right side
    6,711.51x = 46,796,122.31
  5. Step 5: Solve for x
    x = 46,796,122.31/6,711.51
  6. Step 6: Final answer
    x = 6,972.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.